Basic Math - Multiplication with Fractions

Multiply:

$\frac{5}{6}\times\frac{12}{25}=?$

$\frac{2}{5}$

$\frac{60}{100}$

$\frac{1}{75}$

Explanation

Multiply the numerators together, then multiply the denominators together.

$\frac{5}{6}\times\frac{12}{25}=\frac{5 \times 12}{6\times25}=\frac{60}{150}$

To simplfy we can pull out a from the numerator and denominator, thus canceling them. The following answer is the result:

$=\frac{30\cdot2}{30\cdot5}=\frac{2}{5}$

Solve and simplify.

$\frac{3}{4} \times \frac{4}{6}$

$\frac{1}{2}$

$\frac{7}{10}$

$\frac{1}{4}$

$\frac{12}{10}$

$\frac{7}{24}$

Explanation

When multiplying fractions, you simply multiply the numerators and then multiply the denominators. Then simplify the fraction.

$\frac{3}{4} \times \frac{4}{6}=\frac{3\cdot 4}{4 \cdot 6}$

$=\frac{12}{24}=\frac{1\cdot 12}{2 \cdot 12}=\frac{1}{2}$

(Note: by dividing both our numerator and our denominator by , gives us our final answer of $\frac{1}{2}$ .

Multiply these fractions:

$\frac{1}{12}*\frac{4}{5}$

$\frac{1}{15}$

$\frac{4}{15}$

$\frac{2}{15}$

$\frac{1}{5}$

Explanation

When multiplying fractions, all we have to do is multiply the numerators together and multiply the denominators together:

$\frac{1}{12}*\frac{4}{5}=\frac{1*4}{12*5}=\frac{4}{60}$

Simply the fraction to get the final answer:

$\frac{4}{60}\div \frac{4}{4}=\frac{1}{15}$

Multiply these fractions:

$\frac{5}{12}*\frac{3}{7}$

$\frac{5}{28}$

$\frac{1}{4}$

$\frac{5}{27}$

$\frac{3}{14}$

Explanation

When multiplying fractions, all we have to do is multiply the numerators together and multiply the denominators together:

$\frac{5}{12}*\frac{3}{7}=\frac{5*3}{12*7}=\frac{15}{84}$

Simply the fraction to get the final answer:

$\frac{15}{84}\div \frac{3}{3}=\frac{5}{28}$

Please choose the best answer for the question below.

$\frac{1}{2} \times\frac{36}{55}=$

Explanation

To do this problem, simply multiply through (i.e. numerator by numerator and denominator by denominator):

$1/2 \cdot 36/55 = 36/110$

And then reduce to find your answer--both and are divisible by two.

Multiply these fractions:

$\frac{5}{7}*\frac{1}{3}$

$\frac{5}{21}$

$\frac{6}{21}$

$\frac{4}{21}$

$\frac{1}{3}$

Explanation

When multiplying fractions, all we have to do is multiply the numerators together and multiply the denominators together:

$\frac{5}{7}*\frac{1}{3}=\frac{5*1}{7*3}=\frac{5}{21}$

Multiply these fractions:

$\frac{8}{9}*\frac{3}{4}$

$\frac{2}{3}$

$\frac{1}{3}$

$1\frac{2}{3}$

Explanation

When multiplying fractions, all we have to do is multiply the numerators together and multiply the denominators together:

$\frac{8}{9}*\frac{3}{4}=\frac{8*3}{9*4}=\frac{24}{36}$

Simplify the fraction to get the final answer:

$\frac{24}{36}\div \frac{6}{6}=\frac{4}{6}\div \frac{2}{2}=\frac{2}{3}$

Multiply these fractions:

$\frac{1}{10}*\frac{2}{5}$

$\frac{1}{25}$

$\frac{2}{25}$

$\frac{1}{50}$

$\frac{3}{25}$

Explanation

When multiplying fractions, all we have to do is multiply the numerators together and multiply the denominators together:

$\frac{1}{10}*\frac{2}{5}=\frac{1*2}{10*5}=\frac{2}{50}$

Simply the fraction to get the final answer:

$\frac{2}{50}\div \frac{2}{2}=\frac{1}{25}$

Evaluate the following:

$-\frac{4}{5}\cdot\left ( \frac{1}{2} \right )^{2}$

$-\frac{1}{5}$

$-\frac{16}{5}$

$-\frac{11}{20}$

$-\frac{17}{20}$

Explanation

This problem involves order of operations.

The correct order is: Parenthesis, Exponents, Multiplication, Division, Addition, and Subtraction.

Rewrite the exponent and cancel out the 4 on the numerator and denominator.

$-\frac{4}{5}\cdot\frac{1}{4}= -\frac{1}{5}$

Multiply these fractions:

$\frac{7}{9}*\frac{1}{14}$

$\frac{1}{18}$

$\frac{1}{9}$

$\frac{1}{6}$

$\frac{2}{9}$

Explanation

When multiplying fractions, all we have to do is multiply the numerators together and multiply the denominators together:

$\frac{7}{9}*\frac{1}{14}=\frac{7*1}{9*14}=\frac{7}{126}$

Simply the fraction to get the final answer:

$\frac{7}{126}\div \frac{7}{7}=\frac{1}{18}$

Multiplication with Fractions

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